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INTERVAL PARAMETER PERTURBATION METHOD FOR EVALUATING THE BOUNDS ON NATURAL FREQUENCIES OF STRUCTURES WITH INTERVAL PARAMETERS

INTERVAL PARAMETER PERTURBATION METHOD FOR EVALUATING THE BOUNDS ON NATURAL FREQUENCIES OF STRUCTURES WITH INTERVAL PARAMETERS
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摘要 For structural parameters with uncertainties, interval mathematicscan , in the case where the probabilistic distribution density ofuncertain variables is unavailable, deal with the influ- ence ofuncertainties in structural parameters on the response of structures.In order to evaluate the re- gion containing natural frequencies ofstructures with interval parameters, the interval parameter per-turbation method is presented in this paper. The advantage of thepresent method is its computational efficiency in evaluating theregion containing natural frequencies. A numerical example is used toil- lustrate the efficiency of the method proposed. For structural parameters with uncertainties, interval mathematicscan , in the case where the probabilistic distribution density ofuncertain variables is unavailable, deal with the influ- ence ofuncertainties in structural parameters on the response of structures.In order to evaluate the re- gion containing natural frequencies ofstructures with interval parameters, the interval parameter per-turbation method is presented in this paper. The advantage of thepresent method is its computational efficiency in evaluating theregion containing natural frequencies. A numerical example is used toil- lustrate the efficiency of the method proposed.
出处 《Acta Mechanica Solida Sinica》 SCIE EI 1998年第1期56-62,共7页 固体力学学报(英文版)
基金 The project is supported by National Youth Natural Science Foundation of China National Outstanding Youth Science Foundation of China
关键词 region containing natural freuqency interval mathematics intervalparameter perturbation method region containing natural freuqency interval mathematics intervalparameter perturbation method
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参考文献11

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  • 3Chen,S.T.Bound theory of complex natural frequencies. Acta Mechanica Sinica . 1985
  • 4Ram,Y.M,and Braun,S.G.Eigenvector error bounds and their applications to structural modification. AIAA Journal . 1993
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